Prolongation of classical solutions and singularities of generalized solutions
type: Item
instance of: scholarly article
title: Prolongation of classical solutions and singularities of generalized solutions
zbMATH Open document ID: 0722.35025
DOI: 10.1016/S0294-1449(16)30279-7
author: Mikio Tsuji
published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire
publication date: 1990-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/78237
review text: Conditions for existence of global classical solutions or formation of singularities in solutions of Cauchy problems for general partial differential equations of first order are obtained. The reason why properties of singularities may depend on the type of equations (Hamilton-Jacobi equations, conservation laws) is discussed. The Rankin- Hugoniot's condition for a single quasilinear equation is solved.
Mathematics Subject Classification ID: 35F25
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 4190248
zbMATH Keywords: global classical solutions
zbMATH Keywords: formation of singularities
zbMATH Keywords: Cauchy problems
zbMATH Keywords: Rankin-Hugoniot's condition
MaRDI profile type: Publication
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OpenAlex ID: W2589568718
description: scientific article; zbMATH DE number 4190248